Problem Solving Through Recreational Mathematics

Author : Bonnie Averbach
Publisher : Courier Corporation
ISBN 13 : 0486409171
Total Pages : 482 pages
Book Rating : 4.77/5 ( download)

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Download or read book Problem Solving Through Recreational Mathematics written by Bonnie Averbach and published by Courier Corporation. This book was released on 2000-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most important mathematical concepts were developed from recreational problems. This book uses problems, puzzles, and games to teach students how to think critically. It emphasizes active participation in problem solving, with emphasis on logic, number and graph theory, games of strategy, and much more. Includes answers to selected problems. Index. 1980 edition.

Author : Bonnie Averbach
Publisher : Courier Corporation
ISBN 13 : 0486131742
Total Pages : 480 pages
Book Rating : 4.40/5 ( download)

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Download or read book Problem Solving Through Recreational Mathematics written by Bonnie Averbach and published by Courier Corporation. This book was released on 2012-03-15 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

Author : David Singmaster
Publisher : World Scientific
ISBN 13 : 9811251622
Total Pages : 494 pages
Book Rating : 4.27/5 ( download)

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Download or read book Adventures In Recreational Mathematics (In 2 Volumes) written by David Singmaster and published by World Scientific. This book was released on 2021-09-21 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
ISBN 13 : 1475843348
Total Pages : 135 pages
Book Rating : 4.47/5 ( download)

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Download or read book Teaching Mathematics through Problem-Solving in K–12 Classrooms written by Matthew Oldridge and published by Rowman & Littlefield. This book was released on 2018-10-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Author : Martin Gardner
Publisher : Courier Corporation
ISBN 13 : 0486320324
Total Pages : 100 pages
Book Rating : 4.28/5 ( download)

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Download or read book My Best Mathematical and Logic Puzzles written by Martin Gardner and published by Courier Corporation. This book was released on 2013-04-10 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.

Author : Fred Schuh
Publisher : Courier Dover Publications
ISBN 13 : 0486808955
Total Pages : 448 pages
Book Rating : 4.56/5 ( download)

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Download or read book The Master Book of Mathematical Recreations written by Fred Schuh and published by Courier Dover Publications. This book was released on 2015-11-11 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.

Author : Bonnie Averbach
Publisher : W H Freeman & Company
ISBN 13 : 9780716711247
Total Pages : 400 pages
Book Rating : 4.49/5 ( download)

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Download or read book Mathematics written by Bonnie Averbach and published by W H Freeman & Company. This book was released on 1980 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic mathematical principles are explained and problem-solving skills developed through a series of exercises, puzzles, and games

Author : W. W. Rouse Ball
Publisher : Legare Street Press
ISBN 13 : 9781015529571
Total Pages : 0 pages
Book Rating : 4.77/5 ( download)

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Download or read book Mathematical Recreations and Essays written by W. W. Rouse Ball and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Jennifer Beineke
Publisher : Princeton University Press
ISBN 13 : 0691171920
Total Pages : 408 pages
Book Rating : 4.20/5 ( download)

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Download or read book The Mathematics of Various Entertaining Subjects written by Jennifer Beineke and published by Princeton University Press. This book was released on 2017-09-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Author : Sanjoy Mahajan
Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.91/5 ( download)

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Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.